摘要
本文中我们给出一些费马型指标的结果,包括费马偏心距、费马半径和费马直径.我们使用编码的组合方法确定了Sierpiński图和Sierpiński金字塔的费马半径和费马直径.通过归一化Sierpiński图上的距离,我们给出了Sierpiński金字塔的平均费马偏心距的精确值并由此得到关于Sierpiński图的渐近公式.
In this study,we present our observations on some Fermat-type indices including Fermat eccentricity,Fermat radius and Fermat diameter.We determine Fermat radius and Fermat diameter of Sierpiński graphs and Sierpiński pyramid by encoding method.Normalizing distance in Sierpiński graphs,we give the precise value of average Fermat eccentricity of Sierpiński pyramid and therefore a asymptotic formula of Sierpiński graphs is obtained.
作者
郭林
曾成
甘庭
GUO Lin;ZENG Cheng;GAN Ting(School of Mathematics and Information Science,Shandong Technology and Business University,Yantai 264005,China;School of Computer Science,Wuhan University,Wuhan 430072,China)
出处
《应用数学》
北大核心
2023年第3期825-830,共6页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China (61902284)。